Question

find the difference: 1 - 0.4308

Explanation:

Step1: Align decimal points

Write \(1\) as \(1.0000\) to align with \(0.4308\) in decimal places.
\(1.0000 - 0.4308\)

Step2: Subtract digit by digit

Start from the rightmost digit:

• \(0 - 8\) can't be done, borrow \(1\) from the tenths place. Now the thousandths place becomes \(10 - 8 = 2\), and the hundredths place becomes \(9 - 0 = 9\) (after borrowing), the tenths place becomes \(9 - 3 = 6\) (after borrowing), and the ones place becomes \(0 - 0 = 0\) (after borrowing from the ones place to tenths). Wait, actually, more clearly:

\(1.0000\)
\(-0.4308\)
\(\underline{\quad\quad\quad\quad}\)
For the ten - thousandths place: \(0 - 8\), we need to borrow. So we go to the thousandths place, but it's also \(0\), so we keep borrowing until we get to the ones place. We can think of \(1.0000\) as \(0.9999 + 0.0001\), but a better way is to do decimal subtraction:
\(1.0000 - 0.4308 = 0.5692\) (by subtracting each column: ones place \(1 - 0 = 1\) but we borrowed, so actually, when subtracting decimals, we align the decimal points and subtract:
\(

$$\begin{align*} 1.0000\\ -0.4308\\ \hline 0.5692 \end{align*}$$

\)

Answer:

\(0.5692\)